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Complete Positivity of Elementary Operators on C^*—algebras
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作者 李建奎 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第4期51-54, ,共4页
Let E(x) = be an elementary operator on a C-algebra A. We prove that if A is prime with soc(A) = 0, or there is a family of irreducible representation of A such that is faithful and (A) does not contain compact operat... Let E(x) = be an elementary operator on a C-algebra A. We prove that if A is prime with soc(A) = 0, or there is a family of irreducible representation of A such that is faithful and (A) does not contain compact operator,or A has a faithful repre sentation π such that π(A)″with no central portions of type In for n>1 then E is positive if and only if E is completely positive. 展开更多
关键词 elementary operator complete positivity
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SPECTRUM-PRESERVING ELEMENTARY OPERATORS ON B(X) 被引量:6
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作者 HOU JINCHUAN (Department of Mathematics, Shanxi Teachers University, Linfen 041004, China.) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1998年第4期511-516,共6页
Characterizations for elementary operators of length 2 to be invertibility-preserving,spectrum-preserving or spectrum-compressing are obtained.
关键词 elementary operators Spectrum-preserving linear maps Positive maps
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An explicit representation and computation for the outer inverse
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作者 Sheng Xingping Chen Jianlong 《Journal of Southeast University(English Edition)》 EI CAS 2020年第1期118-122,共5页
First,an explicit representation A(2)T,S=(GA+E)^-1G of the outer invers A(2)T,S for a matrix A∈Cm×n with the prescribed range T and null space S is derived,which is simpler than A(2)T,S=(GA+E)^-1G-V(UV)-2UG prop... First,an explicit representation A(2)T,S=(GA+E)^-1G of the outer invers A(2)T,S for a matrix A∈Cm×n with the prescribed range T and null space S is derived,which is simpler than A(2)T,S=(GA+E)^-1G-V(UV)-2UG proposed by Ji in 2005.Next,a new algorithm for computing the outer inverse A(2)T,S based on the improved representation A(2)T,S=(GA+E)^-1G through elementary operations on an appropriate partitioned matrix GAInIn0 is proposed and investigated.Then,the computational complexity of the introduced algorithm is also analyzed in detail.Finally,two numerical examples are shown to illustrate that this method is correct. 展开更多
关键词 outer inverse explicit representation elementary operation computational complexity
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VARIOUS NOTIONS OF ORTHOGONALITY IN NORMED SPACES
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作者 N.B.OKELO J.O.AGURE P.O.OLECHE 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1387-1397,共11页
In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also consid- ered. Results on orthogonality of the range and the kern... In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also consid- ered. Results on orthogonality of the range and the kernel of elementary operators and the operators implementing them also are given. 展开更多
关键词 ORTHOGONALITY normed space elementary operator
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New Subclasses of Biholomorphic Mappings and the Modified Roper-Suffridge Operator 被引量:1
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作者 Chaojun WANG Yanyan CUI Hao LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第5期691-704,共14页
The authors propose a new approach to construct subclasses of biholomorphic mappings with special geometric properties in several complex variables. The RoperSuffridge operator on the unit ball B^n in C^n is modified.... The authors propose a new approach to construct subclasses of biholomorphic mappings with special geometric properties in several complex variables. The RoperSuffridge operator on the unit ball B^n in C^n is modified. By the analytical characteristics and the growth theorems of subclasses of spirallike mappings, it is proved that the modified Roper-Suffridge operator [Φ_(G,γ)(f)](z) preserves the properties of S_Ω~*(A, B), as well as strong and almost spirallikeness of type β and order α on B^n. Thus, the mappings in S_Ω~*(A, B), as well as strong and almost spirallike mappings, can be constructed through the corresponding functions in one complex variable. The conclusions follow some special cases and contain the elementary results. 展开更多
关键词 Operator normalized elementary symmetric Modified conclusions powerful dimensions constructing polynomial
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